论文标题
椭圆形曲线在有理数的数字上以半阿您的降低和两个分割点
Elliptic curves over the rational numbers with semi-abelian reduction and two-division points
论文作者
论文摘要
我们将椭圆形曲线分类为整数上的néron模型是半阿伯式的，p = 2的良好降低，其mordell-weil组包含两个阶元的元素，该阶元素二的元素在p = 2处保持非平凡。此外，我们描述了二级元素元素狭窄的那些曲线，或者存在另一个命令的另一个要素，并以Deligne- -Mummford stacks of Senus属曲线表达了我们的发现。
We classify elliptic curves over the rationals whose Néron model over the integers is semi-abelian, with good reduction at p=2, and whose Mordell--Weil group contains an element of order two that stays non-trivial at p=2. Furthermore, we describe those curves where the element of order two is narrow, or where another element of order two exists, and also express our findings in terms of Deligne--Mumford stacks of pointed curves of genus one.
